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Popular >

simplify (x^3y^2)(xy^4z^2)

Solution

simplify

(x^{3} y^{2}) (x y^{4} z^{2})

Solution

x^{4} y^{6} z^{2}

Solution steps

(x^{3} y^{2}) (x y^{4} z^{2})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{3} x = x^{3 + 1}

= y^{2} x^{3 + 1} y^{4} z^{2}

Add the numbers:

3 + 1 = 4

= y^{2} x^{4} y^{4} z^{2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y^{2} y^{4} = y^{2 + 4}

= x^{4} y^{2 + 4} z^{2}

Add the numbers:

2 + 4 = 6

= x^{4} y^{6} z^{2}

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Frequently Asked Questions (FAQ)

What is (x^3y^2)(xy^4z^2) ?
The solution to (x^3y^2)(xy^4z^2) is x^4y^6z^2